Question

If $\left[\begin{array}{cc}x+1& x-1\\ x-3& x+2\end{array}\right]=\left[\begin{array}{cc}4& -1\\ 1& 3\end{array}\right]$ , then write the value of $x$.

Answer 1

$\left[\begin{array}{cc}x+1& x-1\\ x-3& x+2\end{array}\right]=\left[\begin{array}{cc}4& -1\\ 1& 3\end{array}\right]$

$\Rightarrow x+1=4$ $x-1=-1$ $x-3=1$ $x+2=3$

$\Rightarrow x=3$ $x=0$ $x=4$ $x=1$

Hence, the answers are $x=3,0,4,1.$